标题： 具有长程相互作用的开放量子系统的Lieb-Robinson界限 显示英文标题

标题： Lieb-Robinson bounds for open quantum systems with long-ranged interactions

摘要： 我们陈述并证明了对于具有幂律衰减相互作用的多体开量子系统在非平衡动力学下有效的四种类型的Lieb-Robinson束缚。 我们还提供了关于设定和证明这些结果所需工具的初步且自包含的讨论。 这里找到的结果适用于同时存在长程相互作用和耗散的物理系统，这在某些量子模拟器（如里德堡系统或由离子形成的库仑晶体）中常见。 显示英文摘要

摘要： We state and prove four types of Lieb-Robinson bounds valid for many-body open quantum systems with power law decaying interactions undergoing out of equilibrium dynamics. We also provide an introductory and self-contained discussion of the setting and tools necessary to prove these results. The results found here apply to physical systems in which both long-ranged interactions and dissipation are present, as commonly encountered in certain quantum simulators, such as Rydberg systems or Coulomb crystals formed by ions.